What is the Least Common Multiple of 69648 and 69664?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 69648 and 69664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69648 and 69664, than apply into the LCM equation.

GCF(69648,69664) = 16
LCM(69648,69664) = ( 69648 × 69664) / 16
LCM(69648,69664) = 4851958272 / 16
LCM(69648,69664) = 303247392

Least Common Multiple (LCM) of 69648 and 69664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69648 and 69664. First we will calculate the prime factors of 69648 and 69664.

Prime Factorization of 69648

Prime Factorization of 69664

Now multiplying the highest exponent prime factors to calculate the LCM of 69648 and 69664.

LCM(69648,69664) = 2⁵ × 3¹ × 1451¹ × 7¹ × 311¹
LCM(69648,69664) = 303247392